100,200,200,195,167,167,137,115,96,90,101,100,114,94,54,61,59,43,31,29,32,27,27,30,38,42,57,37,45,49,50,52,61,64,69,78,69,72,72,68,61,60,60,58,37,49,54,57,62,49,84,86,83,81,40,43,46,65,47,50,56,53,55,54,57,57,38,51,51,63,37,27,29,33,29,27,69,60,64,79,63,67,69,65,63,62,63,61,48,57,54,58,65,54,56,55,54,55,60,61,68,81,63,69,71,72,62,67,77,76,77,53,73,68,28,58,6,41,27,81,92,87,84,107,
100,159,174,162,140,137,121,125,105,96,108,107,122,99,64,68,71,49,39,42,46,44,28,38,51,55,64,44,52,57,61,51,65,70,77,81,73,76,79,78,60,67,68,68,81,55,64,67,68,55,89,97,97,84,47,57,61,76,61,66,69,69,62,68,69,72,87,63,66,78,46,40,42,48,47,33,83,74,80,89,76,80,82,79,74,76,78,78,68,72,70,75,77,71,73,74,75,64,77,77,84,92,76,82,83,84,65,76,87,88,96,64,69,54,11,32,-15,23,40,88,116,123,122,134,
100,157,175,160,148,141,134,134,113,102,113,111,129,102,71,74,82,62,47,50,56,57,29,46,60,65,68,50,57,65,69,51,71,77,82,83,77,80,84,84,60,72,74,77,86,60,70,77,74,65,95,101,103,80,58,62,68,78,65,70,76,77,61,71,75,78,90,68,73,84,51,44,45,53,53,33,88,80,86,92,79,83,87,88,72,80,84,85,100,76,82,83,81,75,77,81,84,66,82,88,91,94,79,85,89,93,66,82,90,93,99,66,74,56,19,31,9,33,71,134,144,155,150,78,
100,152,173,154,152,104,102,124,103,75,85,107,126,100,78,81,85,68,41,49,55,52,68,37,58,64,63,46,52,63,68,87,66,73,81,81,75,78,83,85,57,72,77,79,87,63,74,79,78,66,95,100,104,80,60,66,72,79,69,73,80,82,60,73,76,82,90,71,75,92,61,50,53,57,58,32,90,84,91,93,82,85,92,93,71,83,86,90,100,78,85,87,88,76,80,86,90,109,84,91,94,96,85,89,95,99,69,85,95,98,103,68,76,59,25,30,32,36,91,165,169,182,183,100,
100,153,155,148,149,121,124,161,139,109,120,136,133,109,81,86,93,78,52,62,71,62,76,47,72,77,76,59,66,73,78,98,74,81,88,90,82,85,91,93,61,79,82,85,90,70,79,84,83,70,95,101,105,124,61,66,75,81,65,71,77,80,52,68,76,81,88,67,72,90,60,43,48,52,54,73,83,80,87,88,76,81,86,88,61,76,82,86,95,74,80,87,89,72,80,89,94,110,88,95,102,105,88,94,100,102,83,85,90,94,98,58,67,56,25,24,48,85,145,195,180,192,193,195,
100,136,139,140,143,117,124,164,143,111,122,143,135,110,84,89,97,84,56,69,76,69,80,52,75,80,79,61,68,74,79,99,75,82,90,91,83,86,92,95,64,81,85,88,91,72,82,87,87,71,95,102,105,123,65,72,77,83,73,77,84,87,59,75,81,86,93,73,78,97,67,50,57,62,64,82,94,92,97,98,86,90,96,98,72,87,90,94,102,81,87,92,95,75,85,87,93,108,91,97,99,103,87,93,100,103,93,88,97,101,105,71,81,60,31,42,61,65,128,185,181,185,185,185,
100,134,128,141,145,115,123,149,129,110,122,143,134,110,84,89,96,85,56,70,77,70,81,53,74,79,78,61,67,74,78,98,73,81,88,90,82,85,91,93,68,81,85,87,91,72,82,86,86,71,92,97,101,118,65,72,76,82,73,77,83,86,59,76,81,87,93,74,79,96,67,49,56,63,66,83,96,93,98,99,87,91,97,99,72,89,91,96,103,83,89,94,96,77,87,90,95,109,93,98,101,104,88,94,100,102,87,87,96,99,104,71,81,99,69,90,89,64,123,172,172,172,172,118,
95,121,115,132,135,107,117,143,123,105,116,135,128,104,79,83,90,81,53,67,74,67,77,50,68,74,72,55,61,67,71,92,67,74,81,83,76,78,84,87,58,75,79,82,86,67,76,81,81,66,83,89,92,110,60,66,71,77,67,71,77,80,53,69,74,80,87,67,72,89,65,46,53,61,63,80,93,91,95,97,84,88,94,96,68,85,88,93,100,79,86,89,92,75,87,86,92,105,92,97,99,101,87,92,98,99,69,86,93,95,101,62,72,63,34,62,41,47,94,155,156,158,159,159,
90,113,110,126,128,124,134,136,117,93,105,126,118,93,73,77,83,74,47,60,66,61,73,47,64,68,66,49,54,60,63,60,59,66,72,74,69,72,77,80,51,68,70,74,80,62,72,76,76,61,75,81,83,102,53,60,64,70,61,66,70,73,47,64,69,74,80,61,65,80,60,46,52,59,61,79,91,88,92,93,85,89,93,95,69,84,87,91,99,78,85,87,90,75,86,85,91,104,92,97,98,100,87,90,96,97,67,84,92,93,100,60,71,67,39,67,37,39,84,154,154,155,156,156,
85,107,102,119,120,117,127,128,110,88,99,116,111,86,66,70,76,66,41,53,60,56,68,43,56,61,59,41,46,52,55,45,51,58,64,66,61,64,70,73,45,61,64,68,74,56,66,69,69,55,66,71,74,88,47,53,57,63,55,59,63,66,41,57,62,67,74,54,58,69,55,41,46,57,59,74,82,78,83,84,75,79,83,85,60,74,77,81,90,69,74,76,77,65,72,68,72,90,70,81,82,83,76,80,86,88,61,79,85,86,92,49,58,56,25,29,12,5,62,137,132,141,146,144,
80,99,97,113,113,111,121,120,103,82,92,100,104,79,59,63,68,59,35,46,52,45,58,31,49,54,52,34,39,45,46,23,43,48,56,58,52,56,62,64,38,53,56,60,68,49,59,62,62,49,56,62,63,59,42,47,52,57,47,52,56,59,35,50,55,59,67,46,50,59,50,38,43,55,57,52,72,67,72,74,64,69,72,74,50,64,66,71,80,58,64,66,67,57,62,60,65,82,62,72,72,73,66,70,75,77,52,68,74,78,84,41,50,52,21,26,14,3,52,126,120,128,136,129,
75,95,93,105,105,101,112,115,98,76,85,95,102,76,51,55,59,50,29,39,45,38,52,24,40,44,43,26,31,36,38,16,34,40,47,51,43,47,53,56,32,45,48,53,62,42,52,55,55,43,46,51,53,46,37,41,47,51,40,45,50,52,30,43,48,52,62,39,44,50,45,35,38,53,55,51,61,57,62,65,53,57,62,64,40,52,56,60,71,47,53,56,57,48,54,53,58,76,55,64,65,66,59,60,63,65,41,57,61,65,73,27,38,41,9,16,9,2,45,118,107,115,126,117,
47,50,81,100,99,95,105,107,90,69,78,84,94,68,44,48,52,43,22,31,38,31,46,18,34,39,38,20,25,30,31,9,26,31,38,43,33,38,44,46,25,39,42,46,55,34,43,47,47,37,36,41,43,24,31,35,40,44,32,37,42,44,23,35,40,44,55,31,36,41,41,31,35,46,47,36,46,46,52,55,42,47,51,52,31,42,46,49,61,36,42,46,46,38,43,44,48,68,46,55,56,57,49,49,52,53,32,46,51,55,64,18,29,32,1,7,5,-1,34,106,93,102,110,105,
59,49,82,98,96,73,85,106,88,69,78,84,87,61,42,45,51,41,20,28,35,29,41,17,31,36,36,17,22,27,28,7,22,28,34,41,29,34,41,43,24,36,40,44,54,31,41,45,44,35,32,37,38,12,29,34,39,44,29,34,41,42,22,32,39,42,54,29,35,39,39,29,32,37,39,16,31,35,41,46,33,37,40,42,22,32,36,38,52,26,32,34,33,27,31,33,36,36,31,38,42,45,36,37,40,43,22,36,40,43,38,-10,0,2,-31,-26,-11,-20,20,92,84,95,107,97,
70,67,85,99,97,73,85,104,86,68,76,78,84,55,36,39,45,37,17,24,30,27,20,14,28,33,34,14,19,25,25,5,19,26,32,39,26,31,37,39,22,33,37,41,52,29,36,40,39,30,30,35,36,11,27,32,37,43,27,32,38,40,20,30,36,39,52,26,32,37,36,27,30,35,37,12,29,34,39,44,30,35,38,39,21,29,33,36,51,24,30,32,31,25,29,33,36,27,31,36,41,45,35,35,38,40,22,34,38,41,37,-11,-1,1,-32,-27,-14,-23,16,86,77,88,97,88,
70,75,87,95,93,83,93,104,86,66,74,69,82,50,31,34,39,31,15,20,27,26,19,13,27,33,34,11,17,22,23,4,17,24,29,38,23,30,35,36,21,31,36,39,52,28,32,36,34,24,28,33,34,11,26,31,36,43,27,32,36,37,20,28,34,36,50,25,30,34,34,24,28,33,35,10,26,31,37,43,28,33,36,37,20,27,30,33,49,22,27,30,30,22,26,34,37,14,32,31,37,41,31,33,36,37,21,32,36,40,36,-12,-1,0,-32,-27,-18,-26,12,81,70,82,88,26,
70,82,91,97,94,92,102,102,84,65,72,64,80,46,26,29,34,26,11,16,22,23,18,10,26,30,34,8,14,19,20,3,15,22,27,37,20,27,32,33,20,28,33,36,50,25,30,33,33,22,26,31,32,10,24,28,33,41,25,30,34,34,18,26,31,33,49,22,27,31,32,22,26,31,33,9,24,29,35,42,26,31,34,34,18,25,28,30,40,19,24,28,28,19,23,30,32,9,25,23,29,34,20,30,33,34,18,29,32,36,33,-15,-5,-5,-38,-29,-23,-28,8,76,67,76,77,14,
70,88,93,98,95,92,102,100,82,67,74,66,82,48,22,25,30,24,10,15,20,21,15,8,18,23,26,7,12,18,18,1,12,18,24,34,18,24,29,30,18,26,31,34,49,23,27,31,32,20,24,29,30,9,23,27,32,40,22,27,31,32,18,24,29,31,27,20,25,29,30,19,24,29,30,9,23,27,32,40,23,28,31,31,16,23,26,28,22,18,23,26,27,16,21,26,28,6,22,21,26,33,19,29,32,32,17,27,31,34,32,-16,-7,-6,-39,-32,-26,-34,2,69,61,71,77,11,
70,88,87,96,91,91,103,100,80,69,77,67,82,45,18,22,27,23,9,13,18,18,14,6,11,16,20,4,10,15,15,0,11,16,22,33,15,22,27,28,16,23,29,31,46,21,25,29,30,18,22,27,29,8,22,26,30,39,20,25,29,29,17,22,27,29,23,18,22,26,28,17,22,27,28,8,22,26,30,39,21,26,28,28,15,21,24,26,20,16,20,24,25,15,19,25,26,7,20,19,23,33,16,26,31,29,17,22,29,31,9,-14,-12,-7,-40,-37,-38,-39,-4,62,55,66,68,65,
70,92,91,98,93,92,103,98,78,68,75,66,81,42,14,18,23,21,8,12,16,16,13,4,9,13,18,1,8,13,14,-1,9,15,20,32,14,20,25,25,15,21,27,29,27,19,24,27,28,16,21,26,27,7,20,25,28,38,18,23,27,27,16,20,25,27,21,16,20,24,27,15,20,25,27,8,22,27,31,40,21,26,28,29,15,21,24,26,20,16,20,25,26,15,19,26,26,8,21,20,25,34,17,27,32,29,18,23,30,31,10,-13,-10,-5,-38,-35,-42,-43,-9,57,50,59,59,56,
67,78,94,97,92,90,100,99,79,67,75,65,80,42,13,17,20,18,7,11,15,16,-6,2,8,13,19,-2,5,11,11,-2,7,13,18,31,11,18,23,23,13,18,25,27,21,17,21,26,27,14,19,24,25,6,18,23,26,36,16,21,25,24,14,18,23,25,20,14,18,22,26,13,18,22,24,6,22,27,31,41,20,26,28,28,16,21,24,25,20,15,19,23,25,14,19,25,26,9,21,20,25,34,17,27,31,29,19,23,29,31,8,-17,-15,-13,-45,-35,-46,-58,-25,39,47,55,51,2,
61,80,98,98,93,87,91,97,78,62,70,63,78,41,11,15,19,18,5,10,14,15,13,2,7,10,17,-3,4,9,10,-3,6,12,17,30,9,16,21,21,11,16,23,24,20,15,20,24,26,12,18,22,24,5,17,22,25,35,14,19,23,23,12,16,22,24,19,12,16,21,25,12,17,21,22,5,23,28,32,42,21,26,28,28,17,21,24,26,22,16,19,23,26,15,20,26,27,11,22,21,26,36,18,28,32,30,19,24,30,31,10,-16,-23,-11,-43,-35,-48,-54,-21,43,44,53,51,1,
70,94,90,97,90,67,80,112,91,57,65,63,78,40,9,13,18,16,5,9,13,14,7,0,4,8,14,-5,2,7,8,-5,5,11,16,29,8,14,20,19,8,13,20,22,18,13,19,23,24,12,16,21,22,4,15,20,23,34,11,16,21,20,10,14,19,20,10,11,15,20,25,10,16,21,22,4,22,27,30,43,22,27,29,29,17,20,25,26,12,16,19,24,29,15,21,27,28,11,22,21,24,36,16,25,27,24,19,23,27,27,-10,-12,-21,-8,-41,-37,-54,-50,-19,44,40,48,45,0,
70,96,95,99,92,67,79,111,89,56,64,61,76,39,8,12,17,15,4,8,12,12,-10,-1,3,6,14,-7,0,5,6,-6,3,10,15,28,6,13,19,18,7,12,19,21,17,12,17,21,23,11,15,20,21,3,14,19,22,34,10,15,19,19,8,12,17,18,-6,9,14,19,24,9,15,20,20,3,23,28,31,44,22,28,31,29,18,22,26,26,6,16,20,25,31,17,21,28,29,13,23,23,26,38,18,26,29,25,20,24,28,29,-8,-10,-20,-6,-38,-35,-56,-52,-21,41,37,45,40,-1,
70,82,99,96,89,69,80,98,76,64,72,60,75,38,7,11,15,14,3,7,11,11,-16,-2,0,3,11,-8,-2,4,5,-5,3,9,13,27,5,11,17,16,6,10,17,20,16,10,15,20,23,9,14,18,19,3,13,17,20,33,8,13,17,16,6,10,15,16,-8,8,13,17,23,8,13,18,19,1,21,26,30,42,19,25,28,28,17,20,24,24,0,14,18,23,29,14,20,26,27,12,21,21,24,37,18,27,30,27,17,21,25,26,-16,-17,-28,-15,-45,-35,-58,-65,-34,25,35,42,35,40,
70,81,102,96,88,67,81,95,77,60,68,59,73,37,6,10,14,13,2,5,9,9,-18,-5,-2,1,10,-10,-4,2,2,-6,2,8,12,27,3,10,16,14,4,9,16,18,15,9,14,18,22,7,12,17,17,2,12,16,19,32,7,12,16,15,5,9,14,15,-9,7,11,16,22,6,12,18,18,1,20,26,29,42,19,23,28,27,16,19,23,23,-2,13,18,22,28,13,19,25,26,12,21,21,24,37,18,27,30,26,17,21,25,25,-16,-17,-28,-15,-43,-33,-57,-65,-34,24,32,38,31,85,
70,93,93,97,89,67,80,113,89,56,63,51,66,29,5,10,12,12,1,5,8,10,7,-1,2,5,11,-10,-3,3,3,-8,0,6,10,25,3,10,15,15,4,8,15,16,7,7,12,18,23,7,13,18,19,0,9,15,18,31,6,11,15,15,3,8,13,14,-10,5,9,14,21,5,11,16,17,0,19,24,27,41,16,22,26,26,14,17,21,21,-3,11,16,20,27,13,18,24,25,11,19,20,21,22,11,20,21,20,13,19,20,20,-10,-13,-26,-11,-37,-34,-56,-62,-33,24,31,37,28,85,
70,102,98,99,91,67,80,111,87,53,61,50,65,28,5,9,12,12,0,4,7,8,6,-3,0,4,10,-11,-5,2,2,-9,-1,5,9,25,3,8,14,14,3,7,14,15,-7,6,11,16,22,6,12,17,18,-1,8,14,17,31,5,10,14,14,3,7,12,13,-11,4,9,14,21,4,10,16,17,0,19,24,27,41,16,21,26,25,14,17,21,21,-3,11,15,20,28,12,18,24,25,11,19,20,21,25,11,20,21,20,14,19,20,20,-9,-13,-26,-11,-35,-32,-56,-61,-33,23,29,35,26,85,
70,92,101,96,88,68,81,98,74,53,61,49,64,28,3,7,10,10,-1,4,5,6,-9,-2,1,4,11,-11,-5,1,1,-9,-2,4,7,24,1,7,13,13,2,6,13,14,-7,5,10,15,22,4,10,15,16,-1,7,13,15,30,3,8,13,13,1,6,11,12,-12,3,8,13,20,4,9,15,16,0,18,23,26,40,16,21,25,25,13,16,20,20,-3,10,15,19,27,11,17,24,25,11,19,19,21,34,11,20,21,21,13,19,20,20,-9,-13,-26,-11,-34,-31,-55,-61,-33,24,28,34,25,85,
70,88,105,98,89,68,80,95,71,52,60,47,63,27,3,7,10,10,-1,2,4,5,-15,-4,-1,2,10,-13,-7,-1,0,-10,-3,2,6,23,0,6,12,12,1,6,12,13,-11,4,10,14,21,4,10,15,15,-2,7,13,15,30,2,7,12,12,0,5,10,11,-13,2,7,12,20,3,9,13,14,-2,17,22,25,39,14,19,23,22,11,15,18,18,-4,9,14,18,26,11,17,22,23,10,18,19,21,23,9,21,24,23,11,16,17,18,-18,-22,-34,-19,-40,-28,-54,-60,-33,22,26,32,24,85,
70,87,101,96,87,68,81,114,89,53,62,46,61,24,-1,4,6,8,-2,4,9,12,6,-1,1,4,9,-11,-5,1,1,-9,-2,4,7,21,-2,5,10,11,-1,4,10,12,-11,4,8,14,20,3,8,15,14,-3,4,9,11,13,0,6,10,11,-2,3,8,10,-14,1,7,12,19,1,7,12,12,-2,15,20,23,38,13,18,22,21,9,13,17,17,-4,9,13,17,26,10,16,22,22,9,17,19,21,30,9,21,24,23,10,16,16,18,-18,-18,-28,-14,-36,-28,-54,-59,-31,23,24,28,13,85,
70,100,104,97,87,67,80,111,85,51,60,45,60,24,-1,5,6,8,-2,3,8,10,5,-3,0,3,8,-13,-7,0,0,-11,-4,3,5,-1,-3,4,9,10,-2,3,10,11,-13,3,8,13,19,2,7,14,13,-4,2,8,10,2,-1,5,10,11,-3,2,8,9,-14,1,6,11,18,0,6,11,11,-3,14,19,21,35,12,17,21,21,8,11,16,15,-5,8,12,17,26,9,15,21,21,10,16,18,19,13,7,18,19,20,7,7,13,13,-10,-8,-23,-8,-31,-28,-53,-46,-22,23,23,28,13,85,
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